Question

In: Statistics and Probability

A cafeteria offers a Combo which consists of a choice of sandwich, a cookie and a...

A cafeteria offers a Combo which consists of a choice of sandwich, a cookie and a drink. If there are 9 different sandwiches, six different cookies and and four different drinks available, how many different Combos are possible?

Solutions

Expert Solution

Solution:

Given:  there are 9 different sandwiches, six different cookies and and four different drinks available.

We have to find number of ways of different Combos that are possible.

A Combo which consists of a choice of sandwich, a cookie and a drink.

So to select a combo, we need to select one from each.

Thus we need to use multiplication principle of counting.

If there L ways of first procedure , M ways of second procedure and N ways of third procedure

then total number of ways of performing all three procedures = L * M * N

Thus

Total number of ways of different Combos = 9 * 6 * 4

Total number of ways of different Combos = 216


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